Feedback Control of Dynamic Systems 6th. Edition by Gene F Franklin, J David Powell, Abbas Emami-Naeini | 9780135001509 | 0135001501 | Holooly

Feedback Control of Dynamic Systems [EXP-11656]

297 SOLVED PROBLEMS

Question: 6.RQ.16

A certain control system is required to follow sinusoids, which may be any frequency in the range 0 ≤ ωl ≤ 450 rad/sec and have amplitudes up to 5 units with (sinusoidal) steady-state error to be never more than 0.01. Sketch (or describe) the corresponding performance function W1(ω).

Verified Answer:

The magnitude of

W_1

is given by ...

Question: 9.RQ.3

A lamp used as a thermal actuator has a nonlinearity such that the experimentally measured output power is related to the input voltage by P = V^1.6. How would you deal with such a nonlinearity in feedback control design?

Verified Answer:

We precede the lamp with an inverse nonlinearity—t...

Question: 7.EX.26

A Reduced-Order Estimator Design for Pendulum Design a reduced-order estimator for the pendulum that has the error pole at −10ω0.

Verified Answer:

We are given the system equations

\begin{b...

Question: 2.EX.1

A Simple System; Cruise Control Model 1. Write the equations of motion for the speed and forward motion of the car shown in Fig. 2.1 assuming that the engine imparts a force u as shown. Take the Laplace transform of the resulting differential equation and find the transfer function between the

Verified Answer:

1. Equations of motion: For simplicity we assume t...

Question: 4.RQ.6

A temperature control system is found to have zero error to a constant tracking input and an error of 0.5°C to a tracking input that is linear in time, rising at the rate of 40°C/sec. What is the system type of this control system and what is the relevant error constant (Kp or Kv or Ka)?

Verified Answer:

The system is Type

1

and the [lat...

Question: 2.EX.2

A Two-Mass System: Suspension Model Figure 2.4 shows an automobile suspension system. Write the equations of motion for the automobile and wheel motion assuming one-dimensional vertical motion of one quarter of the car mass above one wheel. A system consisting of one of the four wheel suspensions

Verified Answer:

The system can be approximated by the simplified s...

Question: 7.EX.16

Ackermann’s Formula for Undamped Oscillator (a) Use Ackermann’s formula to solve for the gains for the undamped oscillator of Example 7.15. (b) Verify the calculations with MATLAB for ω0 = 1.

Verified Answer:

(a) The desired characteristic equation is

...

Question: 3.EX.28

Aircraft Response Using MATLAB The transfer function between the elevator and altitude of the Boeing 747 aircraft described in Section 10.3.2 can be approximated as h(s)/δe(s) = 30(s − 6)/s(s^2 + 4s + 13). 1. Use MATLAB to plot the altitude time history for a 1° impulsive elevator input. Explain

Verified Answer:

1. The MATLAB statements to create the impulse res...

Question: 7.EX.25

An Estimator Design for a Simple Pendulum Design an estimator for the simple pendulum. Compute the estimator gain matrix that will place both the estimator error poles at −10ω0 (five times as fast as the controller poles selected in Example 7.15). Verify the result using MATLAB for ω0 = 1. Evaluate the performance of the estimator.

Verified Answer:

The equations of motion are

\dot{\pmb x } ...

Question: 5.EX.7

An Exercise to Repeat the Prior Examples Using RLTOOL Repeat Examples 5.3 through 5.6 using MATLAB’s RLTOOL feature.

Verified Answer:

RLTOOL is an interactive root-locus design tool in...

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